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Simplifying [9(n + -4) + -19] + -1[3(n + -4) + 1] = 0 Reorder the terms: [9(-4 + n) + -19] + -1[3(n + -4) + 1] = 0 [(-4 * 9 + n * 9) + -19] + -1[3(n + -4) + 1] = 0 [(-36 + 9n) + -19] + -1[3(n + -4) + 1] = 0 Reorder the terms: [-36 + -19 + 9n] + -1[3(n + -4) + 1] = 0 Combine like terms: -36 + -19 = -55 [-55 + 9n] + -1[3(n + -4) + 1] = 0 Remove brackets around [-55 + 9n] -55 + 9n + -1[3(n + -4) + 1] = 0 Reorder the terms: -55 + 9n + -1[3(-4 + n) + 1] = 0 -55 + 9n + -1[(-4 * 3 + n * 3) + 1] = 0 -55 + 9n + -1[(-12 + 3n) + 1] = 0 Reorder the terms: -55 + 9n + -1[-12 + 1 + 3n] = 0 Combine like terms: -12 + 1 = -11 -55 + 9n + -1[-11 + 3n] = 0 -55 + 9n + [-11 * -1 + 3n * -1] = 0 -55 + 9n + [11 + -3n] = 0 Reorder the terms: -55 + 11 + 9n + -3n = 0 Combine like terms: -55 + 11 = -44 -44 + 9n + -3n = 0 Combine like terms: 9n + -3n = 6n -44 + 6n = 0 Solving -44 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 6n = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 6n = 0 + 44 6n = 0 + 44 Combine like terms: 0 + 44 = 44 6n = 44 Divide each side by '6'. n = 7.333333333 Simplifying n = 7.333333333
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